论文标题
Quadri-Algebras，Prelie代数和加泰罗尼亚的谎言家族
Quadri-algebras, preLie algebras, and the Catalan family of Lie idempotents
论文作者
论文摘要
我们计算了[Menous等人，Adv。应用数学。 51（2013），177-22]在Lie模块的PBW基础上。发现树的系数仅取决于其左右边缘的数量。特别是，加泰罗尼亚的同性恋者属于基于赤裸的二进制树的前代代数，我们确定了几种谎言和prelie subergebras。
We compute the expansion of the Catalan family of Lie idempotents introduced in [Menous et al., Adv. Applied Math. 51 (2013), 177-22] on the PBW basis of the Lie module. It is found that the coefficient of a tree depends only on its number of left and right internal edges. In particular, the Catalan idempotents belong to a preLie algebra based on naked binary trees, of which we identify several Lie and preLie subalgebras.
